12)If p and p' are the length of the perpendiculars drawn from the points (+-root a2-b2,0) to the line x/a cosA + y/b sinA = 1, prove that: p x p' = b2.

Kindly refer to below explanation.

Step-by-step explanation:

Given equation of line:

Given points are:

Formula for distance between a point and a line is:

If the point is and equation of line is

Then, perpendicular distance between line and points is:

Here,

For the first point:

By the above formula:

and can be calculated as:

Formula used:

(Using the identity:

)

(Hence provded)

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5